Observational cosmology shows the accelerated expansion of the Universe [1]},[2]}. Therefore, the Universe at present is becoming filled with a strange substance. This outcome is confirmed by the measurement of the Cosmic Microwave Background (CMB) using PLANCK space Satellite [3]}. It is believed that this expansion is due to a substantial negative pressure arising from the dark energy that is up to 70\(\%\)  of the total energy of the Universe. There are two sources of this negative pressure: one is cosmological constant and the other is the so called quintessence [4]},[5]} which acts as a repulsive force against the gravity. Quintessence is described by a scalar field and a parameter \(\omega \) , defined as the ratio of the pressure to the energy density of the dark energy. Black hole solution surrounded by the quintessence introduced in [6]}.
